42167752648 has 64 divisors (see below), whose sum is σ = 92274019200. Its totient is φ = 17691540480.

The previous prime is 42167752643. The next prime is 42167752651. The reversal of 42167752648 is 84625776124.

42167752648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42167752648² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42167752595 and 42167752604.

It is not an unprimeable number, because it can be changed into a prime (42167752643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 769786 + ... + 822742.

It is an arithmetic number, because the mean of its divisors is an integer number (1441781550).

Almost surely, 2^42167752648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42167752648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46137009600).

42167752648 is an abundant number, since it is smaller than the sum of its proper divisors (50106266552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42167752648 is a wasteful number, since it uses less digits than its factorization.

42167752648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53270 (or 53266 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 52.

The spelling of 42167752648 in words is "forty-two billion, one hundred sixty-seven million, seven hundred fifty-two thousand, six hundred forty-eight".